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Finding the Fourth Proportional to 31,005, 46,507.54 and 14,355.96

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Solution

The fourth proportional to 31,005, 46,507.54 and 14,355.96 is: 21,533.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,005 : 46,507.54 = 14,355.96 : x
  2. Step 2: Convert to fraction form
    31,005/46,507.54 = 14,355.96/x
  3. Step 3: Cross multiply
    31,005x = 46,507.54 × 14,355.96
  4. Step 4: Simplify right side
    31,005x = 667,660,383.94
  5. Step 5: Solve for x
    x = 667,660,383.94/31,005
  6. Step 6: Final answer
    x = 21,533.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.